Question

Find a cubic polynomial with the sum sum of the product of its zeros are taken two at a time and the product of its zeros are 2 , -7 , - 14​

Answer 1

cubic polynomial can be written as

x^3-(a+b+c)x^2+(ab+bc+ac)x-abc

now sum of roots is a+b+c= 2

sum of product of zeroes taken two at a time

ab+bc+ca=-7

product of zeroes abc=-14

polynomial is

x^3-2x^2-7x+14